关于回路扩张与回路的上同调
On loop extensions and cohomology of loops
摘要：
在本文中定义的上同调类群，分类循环扩展满足一个给定的身份在三个变量的关联身份，并在两个变量的情况下交换。它被认为是大量的身份。这些群推广了Nishigori [2]和Jhonson和Leedham-Green [4]的工作中定义的群。它是计算的数量的亚循环扩张的平凡作用的核上的商在一个特定的情况下，左Bol循环和一般的交换循环。
英文摘要：
In this paper are defined cohomology-like groups that classify loop extensions satisfying a given identity in three variables for association identities, and in two variables for the case of commutativity. It is considered a large amount of identities. This groups generalize those defined in works of Nishigori [2] and of Jhonson and Leedham-Green [4]. It is computed the number of metacyclic extensions for trivial action of the quotient on the kernel in one particular case for left Bol loops and in general for commutative loops.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
